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Year 1

Combining and partitioning numbers within 10

I can use my knowledge of combining and partitioning numbers within 10 when solving problems.

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New
New
Year 1

Combining and partitioning numbers within 10

I can use my knowledge of combining and partitioning numbers within 10 when solving problems.

Download all resources
Share activities with pupils

Lesson details

Key learning points

  1. We can combine two parts to make a whole. Part + part = whole
  2. We can partition a whole into two parts.
  3. We can partition a part from a whole. Whole − part = part

Common misconception

Children might record that numbers can only be partitioned in one way.

Children here have the chance to explore how numbers can be partitioned in many different ways. Narrate when exploring these different ways throughout, using ___ is the whole, ___ is a part and ___ is a part.

Keywords

  • Combine - To join or merge two or more parts together.

  • Partition - The act of splitting an object or value into smaller parts.

  • Whole - All of a group or number.

  • Part - A piece or section of the whole.

Within this lesson, numbers of shapes are combined to make whole pictures and whole pictures are partitioned into parts. Although in the context of playing with shape tiles, the strong focus is on the idea of 'combining' (part + part = whole) and 'partitioning' (whole- part = part).
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Video

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Starter quiz

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6 Questions

Q1.
Complete the count for the sequence of numbers.
Correct Answer:37, 38, 39,,40

40

Correct Answer:52, 51, 50, ,49

49

Correct Answer:47, 48, 49,,50

50

Correct Answer:42, 41, 40,,39

39

Q2.
Match the equations that have the same sum.
Correct Answer:2 + 4 = ,4 + 2 =

4 + 2 =

Correct Answer:20 + 40 =,40 + 20 =

40 + 20 =

Correct Answer:3 + 7 =,7 + 3 =

7 + 3 =

Correct Answer:30 + 70 =,70 + 30 =

70 + 30 =

Q3.
Match the statement to the correct number.
Correct Answer:One more than 15 is,16

16

Correct Answer:One less than 11 is,10

10

Correct Answer:Two more than 13 is ,15

15

Correct Answer:Two less than 16 is,14

14

Q4.
Match the pairs of numbers that total 10
Correct Answer:4,6

6

Correct Answer:5,5

5

Correct Answer:1,9

9

Correct Answer:3,7

7

Correct Answer:2,8

8

Q5.
What is the double of these numbers?
Correct Answer:Double 4 is,8

8

Correct Answer:Double 2 is,4

4

Correct Answer:Double 5 is,10

10

Correct Answer:Double 3 is,6

6

Q6.
Which facts can be represented by this bar model?
An image in a quiz
Correct answer: Double 3 is 6
6 + 3 = 3
Correct answer: Half of 6 is 3
Correct answer: 6 - 3 = 3

Exit quiz

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6 Questions

Q1.
Look at the bar model. 3 is a part, 6 is a part, is the whole.
An image in a quiz
Correct Answer: 9
Q2.
Partition 10 into two equal parts. Each part is
An image in a quiz
Correct Answer: 5
Q3.
Izzy used triangles and squares to make this castle. The whole has a total of 8 shapes. What do the parts represent?
An image in a quiz
Correct Answer:3 represents ,the number of triangles

the number of triangles

Correct Answer:5 represents ,the number of squares

the number of squares

Q4.
Sofia made this picture of a fish using shapes. What numbers represent the parts and the whole?
An image in a quiz
Correct Answer:4 triangles ,part

part

Correct Answer:7 shapes,whole

whole

Correct Answer:3 squares,part

part

Q5.
Lucas made a shape using triangles and rectangles. He used 10 shapes altogether. If he used 4 rectangles, how many triangles did he use?
An image in a quiz
Correct Answer: 6
Q6.
Izzy finds many ways to use triangles and rectangles to make a picture. She always uses 9 shapes. Match the number of triangles and rectangles correctly.
An image in a quiz
Correct Answer:3 triangles,6 rectangles

6 rectangles

Correct Answer:5 triangles,4 rectangles

4 rectangles

Correct Answer:2 triangles,7 rectangles

7 rectangles

Correct Answer:4 triangles,5 rectangles

5 rectangles